# 5. Report contents / Зміст звіту

The report is submitted together with the source code. It must contain the
following sections.

1. **Title block** — course, laboratory work number and title, student's name
   and group, date.
2. **Objective** — a short statement of the goal of the work (see
   [1purpose.md](1purpose.md)).
3. **Brief theory** — the formulas for permutations, arrangements, and
   combinations, and the definitions of mean, variance, and standard deviation, in
   your own words (see [Lecture 13 — Probabilities](../../Lectures/CDM-L13.md)).
4. **Chosen representation** — how a dataset and the generated combinatorial
   objects are stored; note whether you used the **population** ($\div n$) or
   **sample** ($\div (n-1)$) variance and why.
5. **Implementation** — the source code of the calculator, the statistics
   analyzer, and the generator, with brief comments. State the programming
   language used.
6. **Testing** — inputs and results including the examples of [4task.md](4task.md)
   ($P_5,\,A_5^3,\,C_5^3 = 120,\,60,\,10$; the dataset's mean $5$, variance $4$,
   $\sigma = 2$; the six permutations of $\{A,B,C\}$) **and** your own cases (e.g.
   $k = 0$ and $k = n$; a dataset with all equal values, whose variance is $0$).
7. **Achieved band** — state which band you reached and which tasks it covers.
8. **Complexity** — the cost of computing the counts, of the statistics, and of
   generating all permutations, with a sentence on why generation is limited to
   small $n$.
9. **Conclusions** — what was implemented, difficulties encountered, and what you
   learned about counting and descriptive statistics.

**Submission requirements.** The source must compile/run and reproduce the example
outputs of [4task.md](4task.md).